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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Minimally almost periodic totally disconnected groups

Author(s): Claudio Nebbia
Journal: Proc. Amer. Math. Soc. 128 (2000), 347-351.
MSC (1991): Primary 20E08; Secondary 22D05, 43A60
Posted: June 21, 1999
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Abstract: In this paper we prove that every closed noncompact group $G$ of isometries of a homogeneous tree which acts transitively on the tree boundary contains a normal closed cocompact subgroup $G'$ which is minimally almost periodic. Moreover we prove that $G'$ is a topologically simple group.


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Additional Information:

Claudio Nebbia
Affiliation: Dipartimento di Matematica ``G. Castelnuovo'', Università di Roma ``La Sapienza'', 00185 Roma, Italy
Email: nebbia@mercurio.mat.uniroma1.it

DOI: 10.1090/S0002-9939-99-05027-3
PII: S 0002-9939(99)05027-3
Received by editor(s): November 20, 1997
Received by editor(s) in revised form: March 31, 1998
Posted: June 21, 1999
Communicated by: Roe Goodman
Copyright of article: Copyright 1999, American Mathematical Society


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